Q: What are the prime factors of the number 143,013,299?

 A: 11, 13, 17, 89, 661

Why are those the prime factors of the number 143,013,299?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 143,013,299

143,013,299
Factor Arrows
1113,001,209
Factor Arrows
131,000,093
Factor Arrows
1758,829
Factor Arrows
89661

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

11, 13, 17, 89, 661

We can check our work by multiplying all of the prime factors together: 11 x 13 x 17 x 89 x 661 = 143,013,299

This can also be written as 111 x 131 x 171 x 891 x 6611 = 143,013,299

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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